Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 57, Issue 3, Pages 1890-1928Publisher
SIAM PUBLICATIONS
DOI: 10.1137/18M1172727
Keywords
Euler-Bernoulli beam equation; error feedback regulator problem; adaptive control
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Funding
- National Natural Science Foundation of China
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This paper is concerned with the adaptive error feedback regulator problem whereby the 1D Euler-Bernoulli beam equation with general unknown amplitude harmonic disturbance is rejected and general harmonic reference signal is tracked. We first construct one auxiliary system in which the measured error becomes the boundary output. Then an adaptive observer is designed in terms of the measured error (its time derivative) to recover the state of the auxiliary system and estimate the unknown parameters. Last, we construct another auxiliary system in which the control and the unmatched disturbance become matched and thus obtain the controller which regulates the error output to zero and keeps the states bounded.
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